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Finding the Fourth Proportional to 1,036.92, 1,431.15 and 682.22

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Solution

The fourth proportional to 1,036.92, 1,431.15 and 682.22 is: 941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.92 : 1,431.15 = 682.22 : x
  2. Step 2: Convert to fraction form
    1,036.92/1,431.15 = 682.22/x
  3. Step 3: Cross multiply
    1,036.92x = 1,431.15 × 682.22
  4. Step 4: Simplify right side
    1,036.92x = 976,359.15
  5. Step 5: Solve for x
    x = 976,359.15/1,036.92
  6. Step 6: Final answer
    x = 941.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.